Advertisements
Advertisements
प्रश्न
The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x).
Advertisements
उत्तर
The graph intersects x-axis at one point.
∴ The no of zeroes of p(x) is one.
APPEARS IN
संबंधित प्रश्न
The graphs of y = p(x) are given in following figure, for some polynomials p(x). Find the number of zeroes of p(x).
Find the zeroes of the quadratic polynomial `f(x) = x^2 + 3x ˗ 10` and verify the relation between its zeroes and coefficients.
Find the zeroes of the polynomial `x^2 – 3x – m(m + 3)`
If 3 is a zero of the polynomial `2x^2 + x + k`, find the value of k.
If one zero of the quadratic polynomial `kx^2 + 3x + k is 2`, then find the value of k.
If 𝛼 and 𝛽 be the zeroes of the polynomial `2x^2 - 7x + k` write the value of (𝛼 + 𝛽 + 𝛼𝛽).
Find the value of k such that the polynomial x2-(k +6)x+ 2(2k - 1) has some of its zeros equal to half of their product.
Find the value of k such that the polynomial x2 − (k + 6)x + 2(2k −1) has sum of its zeros equal to half of their product.
If the zeroes of the quadratic polynomial ax² + bx + c, c # 0 are equal, then ______.
A polynomial of degree n has ______.
Consider the following statements.
- x – 2 is a factor of x3 – 3x² + 4x – 4.
- x + 1 is a factor of 2x3 + 4x + 6.
- x – 1 is a factor of x5 + x4 – x3 + x² -x + 1.
In these statements
If the graph of a polynomial intersects the x-axis at exactly two points, it need not be a quadratic polynomial.
The zeroes of the quadratic polynomial x2 + kx + k, k ≠ 0 ______.
Which of the following is not the graph of a quadratic polynomial?
The number of polynomials having zeroes – 3 and 4 is ______.
The zeroes of the quadratic polynomial 16x2 – 9 are ______.
The graph of y = f(x) is shown in the figure for some polynomial f(x). The number of zeroes of f(x) are ______.
If α and β are the zeroes of the polynomial x2 + x − 2, then find the value of `alpha/beta+beta/alpha`
